23488545160080 has 1920 divisors, whose sum is σ = 111292431114240. Its totient is φ = 4420009451520.

The previous prime is 23488545160033. The next prime is 23488545160111. The reversal of 23488545160080 is 8006154588432.

23488545160080 is a `hidden beast` number, since 2 + 3 + 4 + 8 + 8 + 545 + 16 + 0 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 23488545159999 and 23488545160026.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1489720357 + ... + 1489736123.

It is an arithmetic number, because the mean of its divisors is an integer number (57964807872).

Almost surely, 2^{23488545160080} is an apocalyptic number.

23488545160080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23488545160080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55646215557120).

23488545160080 is an abundant number, since it is smaller than the sum of its proper divisors (87803885954160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23488545160080 is a wasteful number, since it uses less digits than its factorization.

23488545160080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15886 (or 15861 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 23488545160080 in words is "twenty-three trillion, four hundred eighty-eight billion, five hundred forty-five million, one hundred sixty thousand, eighty".